Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bc |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-14202728507072448 = -1 · 26 · 36 · 73 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,38740,-4935441] |
[a1,a2,a3,a4,a6] |
Generators |
[551:13269:1] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
13.094258013767 |
L(r)(E,1)/r! |
Ω |
0.20545558991841 |
Real period |
R |
3.5407105717489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999902896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13454d3 126a3 |
Quadratic twists by: -3 -31 |